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1 August, 01:45

X+y=10 and 2x+4y=30

What are the steps to solve this equation?

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Answers (1)
  1. 1 August, 04:54
    0
    x=5 and y=5

    Step-by-step explanation:

    You "plug" one equation into the other, to get a new equation that only has one variable (x or y), then you can simplify that and have your answer.

    So let's plug the first into the second:

    First, we convert the first equation into an x = ... form. For this one, this means moving the + y to the other side:

    x = 10 - y

    Now we substitute 10-y for x in the second equation:

    So 2x+4y=30 becomes:

    2 (10-y) + 4y = 30

    And simplify that:

    20 - 2y + 4y = 30

    20 + 2y = 30

    2y = 30-20

    2y = 10

    y = 5

    This is the first answer! If we put this into the first equation, we get:

    x = 10 - 5 = 5

    Now we have both answers, x=5 and y=5
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